Which of the below measures of central tendency is/are always unique ?

Answer:

[tex]\tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\where~x~is~an~integer.[/tex]

Step-by-step explanation:

tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\

where~x~is~an~integer.

Answer:

4 divided by 1.

Step-by-step explanation:

im pretty sure thats right but correct me if im wrong please, and have a great day <3

The fraction 1/4 can be rewritten as the division expression: 1 ÷ 4.

Fraction: 1/4

To rewrite this fraction as a division expression, we can simply put the numerator (1) as the dividend and the denominator (4) as the divisor:

Division Expression: 1 ÷ 4

In this expression, the number 1 is being divided by the number 4, which is equivalent to the fraction 1/4.

So, the detailed solution is that the fraction 1/4 can be represented as the division expression 1 ÷ 4.

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Answer:

SEE THE IMAGE FOR ALL ANSWERS.

Step-by-step explanation:

635 - 75= 560 is the money u need to save

560 ÷ 65 = x the n of weeks

=8.6 weeks

Answer:

Below,...

Step-by-step explanation:

Equation: $44 + $12.95 = p

Solved: p = $56.95

Chow,...!

Answer:

2 1/4

Step-by-step explanation:

First you have to do 2 x 1 = 2

Then add 2 + 1 = 3

Next do 3/2 x 3/4

You will have to find the common denominator which is 8

Do 4 x 3 = 12 and 3 x 2= 6

Add 12 + 6 = 18

You get the answer 18/8

You can go and put this answer into an improper fraction

2 2/8

Since 2/8 can be divided by 2

You will get an answer of 2 1/4

Answer:

4 1/8

Step-by-step explanation:

first, you do 11 * 3/ 2* 4 which equals 33/8.

Then you simplify 33/8 which is 4 1/8

Answer:

a. 62

Step-by-step explanation:

use the Bodmas method

=3×9-5+20×2

=62

The value of the expression {[3 x (3+6) - 5] + 20 x 2 will be 62. so option A is correct.

We can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

So, use the Bodmas method

=[3 × 9 - 5 ]+ 20 × 2

= [27 -5] + 40

= 22 + 40

=62

Therefore,  the value of the expression {[3 x (3+6) - 5] + 20 x 2 will be 62. so option A is correct.

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Answer:

B AND C

Step-by-step explanation:

BOTH B AND C EQUALS THE FRACTION GIVEN

Answer: [tex]x^{10}+10x^8y+40x^6y^2+80x^4y^3+80x^2y^4+32y^5[/tex]

Step-by-step explanation:

[tex]\mathrm{Apply\:binomial\:theorem}:\quad \left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i[/tex]

[tex]a=x^2,\:\:b=2y[/tex]

[tex]=\sum _{i=0}^5\binom{5}{i}\left(x^2\right)^{\left(5-i\right)}\left(2y\right)^i[/tex][tex]=\frac{5!}{0!\left(5-0\right)!}\left(x^2\right)^5\left(2y\right)^0+\frac{5!}{1!\left(5-1\right)!}\left(x^2\right)^4\left(2y\right)^1+\frac{5!}{2!\left(5-2\right)!}\left(x^2\right)^3\left(2y\right)^2+\frac{5!}{3!\left(5-3\right)!}\left(x^2\right)^2\left(2y\right)^3+\frac{5!}{4!\left(5-4\right)!}\left(x^2\right)^1\left(2y\right)^4+\frac{5!}{5!\left(5-5\right)!}\left(x^2\right)^0\left(2y\right)^5[/tex]

simplify all =  [tex]x^{10}+10x^8y+40x^6y^2+80x^4y^3+80x^2y^4+32y^5[/tex]

Answer:

Step-by-step explanation:

Answer:

The perimeter of rectangle A is 8x+6y or 2(4x+3y)

Step-by-step explanation:

The perimeter of a figure is the sum of its boundary dimensions.

The perimeter of rectangle A is:

[tex]4x+4x+3y+3y=8x+6y[/tex]

Factorizing,

[tex]8x+6y=2(4x+3y)[/tex]

Answer:

Step-by-step explanation:

To write an equation for a circle, we need to find the center and the radius.  We need to find the distance between the two endpoints to find the radius.  To do that, use the distance formula:

d = √(2 - 5)² + (1 + 3)²

√(-3)² + (4)²

√9 + 16 = √25 = 5

If the diameter is 5, the radius is 2.5

Now we need to find the center/midpoint.  Use the midpoint formula:

(5 + 2)/2, (-3 + 1)/2

7/2, -2/2

(3.5, -1)

Now that we have the center and the radius, we can make our equation.  Remember that the equation of a circle is: (x - x of center)² + (y - y of center) = radius²

(x - 3.5)² + (y + 1)² = 6.25

Hope this helps

Answer:

1848

Step-by-step explanation:

I think this is the answer. Because I multiplied 308 by 6

Answer:

4!

Step-by-step explanation:

Step-by-step explanation:

100 ÷ 10⁷ = 10² ÷ 10⁷ = [tex]10^{-5}[/tex] = 1/100.000

Answer:

1:7

Step-by-step explanation:

simplify both sides of the ratio by dividing each by 9. so you have 1 and 7. 1:7

Answer: D. <DXC is a right angle

Step-by-step explanation:

9514 1404 393

Answer:

  88°

Step-by-step explanation:

If the ratio of the third angle to the sum of the other two is 1 : 2, then the third angle must be 1/(1+2) = 1/3 of the total of angle measures. The third angle is 1/3(180°) = 60°.

If the second angle is 28° less than 60°, then the first angle is ...

  180° -60° -(60-28)° = (60 +28) = 88° . . . . . sum of all angles is 180°

The largest angle is 88°.

Answer:

Step-by-step explanation:

Answer:

56.32

Step-by-step explanation:

The hundredths place is the second place after the decimal point.

Side note:

All you need to do is if the hundredths is less than 5, you round down. If it's greater than or equal than 5, then you round up.

Answer:

y = 25

Step-by-step explanation:

y = 4x - 7

y = 4(8) - 7

y = 32 - 7

y = 25

The value of y is 25 for y=4x-7 when x is 8.

Two or more expressions with an Equal sign is called as Equation.

Given equation is y=4x-7

y equal to four times of x minus seven.

We need to find value of y when x is 8

y=4x-7

Put x as 8 in the above equation

Multiply four time of eight and subtract seven from the value

y=4(8)-7

The value we get when four time of eight is thirty two

y=32-7

Thirty two minus seven is twenty five

y=25

Hence the value of y is 25 for y=4x-7 when x is 8.

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Answer:

54

Step-by-step explanation:

2.25x24=54

24 represents months and 24 months is 2 years

In two years 54 inches of rain has fallen.

Unitary method a mathematical technique for firs finding the value of a single unit then deriving the given units ,multiplying with the single unit.

According to the given question If the average rate of change of the amount of precipitation that has fallen is 2.25 inches per month.

We have to find how much rain have fallen in two years.We know 2 years is = (2×12) = 24 months.

∴ rain fallen for two years is (2.25 × 24) inches which is

= 54 inches.

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It is important that the compass is opened to the length of the segment to be copied, when copying a line segment

The steps to copy a line segment are;

Step 1: Mark a point P that will be one endpoint of the new line segment

Step 2: Set the compass point on the point T of the line segment to be copied

Step 3: The compass width is adjusted to the point V, such that the compass extends the length of the line TV to be copied

Step 4: The compass point is placed at point P with the same width TV from the previous step and draw an arc close to the desired location of the second endpoint

Step 5: A point N is selected on the arc drawn in the previous step as the second endpoint of the line

Step 6: Join points P and N with a line using a straight edge to complete the copied line

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A straight line that connects two points without going further than them. Points P and N are made reference to it as the segment's 'endpoints'. When copy a line segment, the box is opened for the duration of the segment to be copied.

Following are steps for the line segment:

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Answer:

y = -3/4x + 14

Step-by-step explanation:

The slope of a perpendicular line is the opposite reciprocal of the original line.

4/3x -> -3/4x

Now we need to find the y-intercept and we can do that by using the slope intercept form expression [ y = mx + b ].

11 = -3/4(4) + b

11 = -3 + b

14 = b

Put everything we know and solved for back into the expression.

y = -3/4x + 14

Best of Luck!

Answer:

12°

Step-by-step explanation:

The two shaded angles are alternate-interior angles

(Either side of the transversal line, and inside both parallel lines, AB||CD)

10x + 5 = 12x - 19

10x + 24 = 12x

24 = 2x

x = 12

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

x=12

Step-by-step explanation:

You set 10x+5 equal to 12x-19. then you solve like a regular equation to get x

9514 1404 393

Answer:

  (8/15)√5

Step-by-step explanation:

  [tex]\dfrac{4\sqrt{12}}{3\sqrt{15}}=\dfrac{4}{3}\sqrt{\dfrac{12}{15}}=\dfrac{4}{3}\sqrt{\dfrac{4}{5}}=\dfrac{4}{3}\sqrt{\dfrac{2^2\cdot5}{5^2}}=\dfrac{4\cdot2\sqrt{5}}{3\cdot5}\\\\=\boxed{\dfrac{8\sqrt{5}}{15}}[/tex]

Answer:

x= 5 , x = -1

Step-by-step explanation:

4|x-2|=12

|x-2| = 3

x-2 = 3

x = 5

x-2 = -3

x= -1